Question

1 by 9+1 by 64 + 2 by 3​

Answer 1

QUESTION:

• Find the value of 1/9 + 1/64 / 2/3.

ANSWER:

• The value of 1/9 + 1/64 / 2/3 = 457/576

GIVEN:

• 1/9 + 1/64 / 2/3.

TO FIND:

• The value of 1/9 + 1/64 / 2/3.

EXPLANATION:

$\tt \longmapsto \dfrac{1}{9} + \dfrac{1}{64} + \dfrac{ 2}{3}$

L.C.M of 9, 64, 3:

$\sf \underline{ \ \ 3 \ \ | \ \ 9, \ 64, \ 3 \ \ } \\ \sf \underline{ \ \ 3 \ \ | \ \ 3, \ 64, \ 1 \ \ } \\ \sf \underline{ \ \ 2 \ \ | \ \ 1, \ 64, \ 1\ \ } \\ \sf \underline{ \ \ 2 \ \ | \ \ 1, \ 32, \ 1 \ \ } \\ \sf \underline{ \ \ 2 \ \ | \ \ 1, \ 16, \ 1 \ \ } \\ \sf \underline{ \ \ 2 \ \ | \ \ 1, \ 8, \ 1 \ \ } \\ \sf \underline{ \ \ 2 \ \ | \ \ 1, \ 4, \ 1 \ \ } \\ \sf \underline{ \ \ 2 \ \ | \ \ 1, \ 2, \ 1 \ \ } \\ \sf \underline{ \ \ \ \ \ \ | \ \ 1, \ 1, \ 1 \ \ }$

$\sf \implies L.C.M \ of \ 9, 64, 3 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3$

$\sf\implies L.C.M \ of \ 9, 64, 3 = 64 \times 9$

$\sf\implies L.C.M \ of \ 9, 64, 3 = 576$

$\tt \longmapsto \dfrac{1}{9} \times \dfrac{64}{64} + \dfrac{1}{64} \times \dfrac{9}{9} + \dfrac{ 2}{3} \times \dfrac{192}{192}$

$\tt \longmapsto \dfrac{64}{576} + \dfrac{9}{576}+ \dfrac{ 384}{576}$

$\tt \longmapsto \dfrac{64 + 9 + 384}{576}$

$\tt \longmapsto \dfrac{457}{576}$

$\tt \longmapsto \dfrac{1}{9} + \dfrac{1}{64} + \dfrac{ 2}{3} = \dfrac{457}{576}$

Hence the value of 1/9 + 1/64 / 2/3 = 457/576.

Answer 2

Answer:

$answer \: is \: \frac{457}{576}$